Elliptic System With Sublinear Signal Production in Dimension 2
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.70140
Abstract: We consider the nonlinear elliptic system u∈W01,q(Ω):−div(M(x)∇u)+u=−div(uM(x)∇ψ)+f(x),ψ∈W01,2(Ω):−div(M(x)∇ψ)=Φ(u),$$ {\displaystyle \begin{array}{ll}u\in {W}_0^{1,q}\left(\Omega \right):& -\operatorname{div}\left(M(x)\nabla u\right)+u=-\operatorname{div}\left(u\kern0.3em M(x)\kern0.3em \nabla \psi \right)+f(x),\\ {}\psi \in {W}_0^{1,2}\left(\Omega \right):& -\operatorname{div}\left(M(x)\nabla \psi \right)=\Phi (u),\end{array}} $$ where Ω$$ \Omega $$ is a bounded, open subset… read more here.
Keywords: amp; amp x0005e; right amp; div ... See more keywords
A Stable Mixed Finite Element Method for the Simulation of Stokes Flow Using Divergence Balanced H(Div)‐L2 Pair of Approximation Spaces
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DOI: 10.1002/nme.7629
Abstract: The Stokes equations are used to model the motion of fluid flows where inertial terms can be neglected. Traditional finite element approaches such as the Taylor–Hood element do not ensure local conservation pointwise of the… read more here.
Keywords: operatorname div; element; left operatorname; finite element ... See more keywords
Full H(div)-approximation of linear elasticity on quadrilateral meshes based on ABF finite elements
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.12.013
Abstract: Abstract For meshes of nondegenerate, convex quadrilaterals, we present a family of stable mixed finite element spaces for the mixed formulation of planar linear elasticity. The problem is posed in terms of the stress tensor,… read more here.
Keywords: full div; linear elasticity; finite elements; div ... See more keywords
Absence of Thyroid Hormone Induced Delayed Dendritic Arborization in Mouse Primary Hippocampal Neurons Through Insufficient Expression of Brain-Derived Neurotrophic Factor
Sign Up to like & getrecommendations! Published in 2021 at "Frontiers in Endocrinology"
DOI: 10.3389/fendo.2021.629100
Abstract: Thyroid hormone (TH) plays important roles in the developing brain. TH deficiency in early life leads to severe developmental impairment in the hippocampus. However, the mechanisms of TH action in the developing hippocampus are still… read more here.
Keywords: arborization; group; div; brain ... See more keywords
Immunomics-Guided Antigen Discovery for Praziquantel-Induced Vaccination in Urogenital Human Schistosomiasis
Sign Up to like & getrecommendations! Published in 2021 at "Frontiers in Immunology"
DOI: 10.3389/fimmu.2021.663041
Abstract: Despite the enormous morbidity attributed to schistosomiasis, there is still no vaccine to combat the disease for the hundreds of millions of infected people. The anthelmintic drug, praziquantel, is the mainstay treatment option, although its… read more here.
Keywords: schistosomiasis; induced vaccination; antigen; div ... See more keywords